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%I #56 Apr 03 2023 10:36:13
%S 113,10103,15149,1021019,1231229,1321319,1481483,1621619,1931933,
%T 1951949,3232321,7127129,7307309,7547549,29129131,71471473,100910093,
%U 101410139,108910889,119411939,156415643,157315733,159715973,164516453,169816979,179117909,179217923
%N Conjoined Twin Primes: primes p such that p written in base 10 has a prefix q and a suffix r, where q and r are a pair of twin primes (in either order), and q and r overlap (i.e., strlen(q)+strlen(r)>strlen(p)).
%C The sequence is finite if the Twin Prime Conjecture is false.
%H Chris K. Caldwell, <a href="https://t5k.org/glossary/page.php?sort=TwinPrime">Twin Prime</a>
%H Rémy Sigrist, <a href="/A250052/a250052.gp.txt">PARI program for A250052</a>
%e 113 is in the sequence because 113 is prime, and (11,13) is a twin prime pair, and "11" is a prefix of "113", and "13" is a suffix of "113", and the prefix and suffix overlap (i.e., strlen("11")+strlen("13")>strlen("113")).
%e 3232321 is in the sequence because 3232321 is prime, and (32321,32323) is a twin prime pair, and "32323" is a prefix of "3232321", and "32321" is a suffix of "3232321", and the prefix and suffix overlap.
%o (PARI) See Links section.
%Y Cf. A001097, A001359, A006512.
%K nonn,base
%O 1,1
%A _Robert C. Lyons_, Dec 07 2014
%E More terms from _Rémy Sigrist_, Aug 04 2019
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